Mathematics Questions for AFCAT & CAPF: 5th February

Dear Students, Defence Adda is providing you all with this quiz on Mathematics questions for CDS, AFCAT, CAPF and other Defence Examinations. The questions asked in Mathematics Section of most of the defence examinations are based on the topics from Mathematics of Class 11th and 12th. The questions asked in this section are complex and comparatively difficult but once attempted with high accuracy, can fetch you full marks in this section. Also, practice on a daily basis helps one dive into the core concepts of a subject and thus, help her perform to the best of her ability in the real examinations. So, attempt the daily quizzes being provided by Defence Adda and score to the maximum in the Mathematics Section of all sorts of defence examinations.

Q5. If medians of triangle have lengths 21 cm, 28 cm and 35 cm, then what is the area (in cm²) of the triangle ?
(a) 288 cm²
(b) 392 cm²
(c) 412 cm²
(d) 352 cm²

Q6. A car driver leaves Belgium at 8:30 am and expects to reach a place 300 km from Belgium at 12:30. At 10:30 he finds that he was covered only 40% of the distance. By how much he has to increase the speed of car in order to keep up his schedule.
(a) 45 km/h
(b) 40 km/h
(c) 35 km/h
(d) 30 km/h

Q7. A boy started from his house by Atlas bicycle at 10:00 am at a speed of 12 km/h. His elder brother started after 1 hour 15 minute by Bajaj scooter along the same path and caught him at 1 : 30 pm. The speed of Bajaj scooter was (in km/h):
(a) 4.5
(b) 36
(c) 56/3
(d) 9

Q8. The fare of a AC Janrath bus is Rs. x for the first five kilometers and Rs 13 per km thereafter. If a passenger pays Rs. 2402 for journey of 187 km. What is the value of x?
(a) 29
(b) 39
(c) 36
(d) None of these

Q9. A sum of Rs. 1000 is lent out partly at 6% and the remaining at 10% per annum. If the yearly income on the average is 9.2%. the both parts respectively are :
(a) Rs. 400, Rs. 600
(b) Rs. 400, Rs. 600
(c) Rs. 200, Rs. 800
(d) Rs. 550, Rs. 450

Q10. Zaffer, Tahir and Jamila together can complete a work in 4 days. If Zaffer and Tahir together can complete the work in 24/5 days, Tahir and Jamila together can do it in 8 days, then Tahir alone can complete the work in:
(a) 16 days
(b) 12 days
(c) 20 days
(d) None of these

SOLUTIONS